Search a number
-
+
23313020032120 = 2357136404675833
BaseRepresentation
bin1010100110011111111000…
…10001110001010001111000
310001112200222110010222012211
411103033330101301101320
511023430031112011440
6121325504211144504
74624211240450560
oct523177421612170
9101480873128184
1023313020032120
117478aa6047935
1227462772a5134
131001540209150
145a84db557da0
152a6659d45eea
hex1533fc471478

23313020032120 has 64 divisors (see below), whose sum is σ = 64559132406720. Its totient is φ = 7378186558464.

The previous prime is 23313020032111. The next prime is 23313020032177. The reversal of 23313020032120 is 2123002031332.

It is a junction number, because it is equal to n+sod(n) for n = 23313020032091 and 23313020032100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3202334277 + ... + 3202341556.

It is an arithmetic number, because the mean of its divisors is an integer number (1008736443855).

Almost surely, 223313020032120 is an apocalyptic number.

23313020032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23313020032120 is an abundant number, since it is smaller than the sum of its proper divisors (41246112374600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23313020032120 is a wasteful number, since it uses less digits than its factorization.

23313020032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404675864 (or 6404675860 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 23313020032120 its reverse (2123002031332), we get a palindrome (25436022063452).

The spelling of 23313020032120 in words is "twenty-three trillion, three hundred thirteen billion, twenty million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 6404675833 12809351666 25618703332 32023379165 44832730831 51237406664 64046758330 83260785829 89665461662 128093516660 166521571658 179330923324 224163654155 256187033320 333043143316 358661846648 416303929145 448327308310 582825500803 666086286632 832607858290 896654616620 1165651001606 1665215716580 1793309233240 2331302003212 2914127504015 3330431433160 4662604006424 5828255008030 11656510016060 23313020032120